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212021110420 = 225711631302181
BaseRepresentation
bin1100010101110101110…
…0010110011010010100
3202021021010010100220021
43011131130112122110
511433204401013140
6241222352114524
721214036463110
oct3053534263224
9667233110807
10212021110420
1181a104313a9
1235111535a44
1316cbb965672
14a394836740
1557ad9b4b4a
hex315d716694

212021110420 has 48 divisors (see below), whose sum is σ = 509288588928. Its totient is φ = 72630391680.

The previous prime is 212021110393. The next prime is 212021110421. The reversal of 212021110420 is 24011120212.

212021110420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212021110394 and 212021110403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021110421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488271 + ... + 813910.

It is an arithmetic number, because the mean of its divisors is an integer number (10610178936).

Almost surely, 2212021110420 is an apocalyptic number.

212021110420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021110420 is an abundant number, since it is smaller than the sum of its proper divisors (297267478508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212021110420 is a wasteful number, since it uses less digits than its factorization.

212021110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303360 (or 1303358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212021110420 its reverse (24011120212), we get a palindrome (236032230632).

The spelling of 212021110420 in words is "two hundred twelve billion, twenty-one million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1163 2326 4652 5815 8141 11630 16282 23260 32564 40705 81410 162820 1302181 2604362 5208724 6510905 9115267 13021810 18230534 26043620 36461068 45576335 91152670 182305340 1514436503 3028873006 6057746012 7572182515 10601055521 15144365030 21202111042 30288730060 42404222084 53005277605 106010555210 212021110420